1. Prove the following properties of asymptotic notation:(a) n = !(pn)(b) If f(n) =(g(n)), and h(n) = (g(n)), then f(n) =(h(n))(c) f(n) = O(g(n)) if and only if g(n) =(f(n)) (Transpose Symmetry...


1. Prove the following properties of asymptotic notation:

(a) n = !(

p

n)

(b) If f(n) =

(g(n)), and h(n) = (g(n)), then f(n) =

(h(n))

(c) f(n) = O(g(n)) if and only if g(n) =

(f(n)) (Transpose Symmetry property)
Oct 14, 2022
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